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Finding the Fourth Proportional to 107.07, 147.68 and 75.95

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Solution

The fourth proportional to 107.07, 147.68 and 75.95 is: 104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.07 : 147.68 = 75.95 : x
  2. Step 2: Convert to fraction form
    107.07/147.68 = 75.95/x
  3. Step 3: Cross multiply
    107.07x = 147.68 × 75.95
  4. Step 4: Simplify right side
    107.07x = 11,216.29
  5. Step 5: Solve for x
    x = 11,216.29/107.07
  6. Step 6: Final answer
    x = 104.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.